10322400400 has 60 divisors (see below), whose sum is σ = 26707239412. Its totient is φ = 3811345920.

The previous prime is 10322400377. The next prime is 10322400409. The reversal of 10322400400 is 400422301.

It can be written as a sum of positive squares in 6 ways, for example, as 3710759056 + 6611641344 = 60916^2 + 81312^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (10322400409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 987339 + ... + 997738.

Almost surely, 2^10322400400 is an apocalyptic number.

10322400400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10322400400 is an abundant number, since it is smaller than the sum of its proper divisors (16384839012).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10322400400 is a wasteful number, since it uses less digits than its factorization.

10322400400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1985108 (or 1985097 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 10322400400 its reverse (400422301), we get a palindrome (10722822701).

The spelling of 10322400400 in words is "ten billion, three hundred twenty-two million, four hundred thousand, four hundred".